IDEAS home Printed from https://ideas.repec.org/p/cte/werepe/we1015.html
   My bibliography  Save this paper

A Kullback-Leibler measure of conditional segregation

Author

Listed:
  • Mora, Ricardo
  • Ruiz-Castillo, Javier

Abstract

In this paper the Kullback-Leibler notion of discrepancy (Kullback and Leibler, 1951) is used to propose a measure of multigroup segregation over a set of organizational units within a multivariate framework. Among the main results of the paper it is established that the Mutual Information index of segregation, M, first proposed by Theil and Finizza (1971), whose ranking has been fully characterized in terms of seven ordinal axioms by Frankel and Volij (2009), can be decomposed to isolate a term which captures segregation conditional on any vector of covariates. Furthermore, consistent estimators for M and the terms in its decomposition are proposed, and their asymptotic properties are obtained. The usefulness of the approach is illustrated by looking at patterns of multiracial segregation across public schools in the U.S. for the academic years 1989-90 and 2005-06. It is found that most within-cities segregation and a significant part of within-districts segregation is accounted for by county-level income per capita and wages per job, and teachers per pupil at school level.

Suggested Citation

  • Mora, Ricardo & Ruiz-Castillo, Javier, 2010. "A Kullback-Leibler measure of conditional segregation," UC3M Working papers. Economics we1015, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we1015
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/bitstream/handle/10016/9162/we1015.pdf?sequence=6
    Download Restriction: no

    More about this item

    Keywords

    Kullback-Leibler discrepancy;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cte:werepe:we1015. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ana Poveda). General contact details of provider: http://www.eco.uc3m.es/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.